Raising A Pyramid

Geometry Level 4

A square ABCDABCD has points EE and FF as its midpoints on ADAD and ABAB, respectively. The square is then folded such that the vertices AA, BB, and DD joined together become a new vertex of the pyramid with triangular base EFCEFC.

If the square has a side length of 6 cm6\text{ cm}, what is the volume of the pyramid (in cm3\text{cm}^3)?


Inspiration.

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